If the correlation between X and Y is -.72,approximately what percentage of the variance in Y can be explained by X?
A)52 percent
B)72 percent
C)85 percent
D)28 percent

Question

Quizplus · Accepted Answer

The square of the correlation coefficient (r^2) represents the proportion of variance in one variable that is explained by the other variable. In this case, r^2 = (-.72)^2 = .52, which means that approximately 52% of the variance in Y can be explained by X.

If the Correlation Between X and Y Is -